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Properties

Label 3040.2.ep
Level $3040$
Weight $2$
Character orbit 3040.ep
Rep. character $\chi_{3040}(349,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $3808$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 3040 = 2^{5} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3040.ep (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3040 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3040, [\chi])\).

Total New Old
Modular forms 3872 3872 0
Cusp forms 3808 3808 0
Eisenstein series 64 64 0

Trace form

\( 3808 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} + O(q^{10}) \) \( 3808 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 32 q^{11} - 8 q^{14} - 8 q^{16} - 16 q^{19} - 16 q^{20} - 8 q^{21} + 8 q^{24} - 4 q^{25} - 112 q^{26} - 8 q^{29} - 256 q^{31} + 24 q^{34} - 52 q^{35} - 8 q^{36} - 32 q^{39} - 24 q^{40} - 8 q^{41} - 8 q^{44} + 8 q^{45} - 32 q^{46} + 32 q^{50} + 24 q^{51} + 24 q^{54} - 4 q^{55} - 32 q^{56} - 8 q^{59} - 160 q^{60} - 72 q^{61} - 176 q^{64} - 32 q^{65} + 24 q^{66} - 160 q^{69} + 44 q^{70} - 8 q^{71} - 8 q^{74} - 16 q^{75} - 16 q^{76} + 12 q^{80} - 32 q^{84} + 36 q^{85} - 72 q^{86} - 8 q^{89} - 52 q^{90} - 8 q^{91} + 48 q^{94} - 16 q^{95} + 32 q^{96} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3040, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.